We proposed a conservative SVD truncation in [1]}
for preservation of mass, momentum and kinetic energy density. The original idea in [1]}, inspired by those in [3]}, is to first project the updated solution, \({\bf f}^{n+1, *}\)  from (REF ), to a subspace
\(\mathcal {N}\doteq \text{span}\lbrace {\bf 1}_v, {\bf v}, {\bf v}^2\rbrace ,\) 
